One-dimensional theory of hydrodynamic penetration for incompressible, inviscid conditions is re-visited to derive insightful relationships and provide a basis for discussing experimental observations. The 1-D Bernoulli equation produces simplified analytical relationships for such terms as the penetration depth, penetrator erosion rate, interface velocity, and other fundamental terms. Previous efforts [1,2] expanded this via a differential chain rule approach to establish relationships of energy and momentum flux and deposition rates of constant velocity and linear velocity gradient rod penetration events. A concise overview of the 1-D model is given followed by a selective grouping into relationships that might provide first-order criteria for making design considerations.

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